Call the impedance given by the top part of the circuit Z1 and the impedance given by the bottom part Z2.
We see that Z1 = 70 + 60j Ω and Z2 = 40 − 25j Ω
(Adding complex numbers should be done in rectangular form.)
Now, we convert everything to polar form and then multiply and divide as follows:
(We do the product on the top first.)
(Now we do the division.)
(We convert back to rectangular form.)
(When multiplying complex numbers in polar form, we multiply the r terms (the numbers out the front) and add the angles. When dividing complex numbers in polar form, we divide the r terms and subtract the angles. See the Products and Quotients section for more information.)
So we conclude that the combined impedance is
`Z_T = 37-5.9j\ Omega`
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